Story highlights

(CNN)Italian prosecutors investigating the death of a 35-year-old American woman in Florence have yet to exclude anyone from the suspect list, the city's chief prosecutor told CNN on Monday.

Ashley Olsen's boyfriend discovered her body Saturday in her apartment. Italian news agency ANSA reported that Olsen had been strangled, but authorities declined to comment on the cause of death until an autopsy is complete.

Her death is being treated as a homicide, police spokeswoman Maddalena Carosi said on Italian TV.

Initial results of her autopsy are expected as early as Monday, prosecutor Giuseppe Creazzo told CNN. But toxicology and other tests could take much longer, he said.

She had last been seen early Friday at a Florence nightclub, he said.

Read More

ANSA reported that Olsen's boyfriend, a fellow artist, discovered her body after growing concerned because he had not heard from her. He asked her landlord to go with him to Olsen's apartment to check on her, according to ANSA.

Although the boyfriend has an alibi that lines up with testimony from other witnesses, Creazzo said Monday that "no one has been excluded" and "no track has been excluded."

Authorities are also looking into pictures on Olsen's Instagram feed in which she said, "I have a stalker." It was unclear if the posts were serious.

Olsen was originally from Florida. She was living in Florence, where her father, an architect, works at an art school.

"The police haven't really said anything yet. My son is waiting for the police to share more," Olsen's grandmother, Ann Olsen, told CNN by phone from Florida.

CNN affiliate WJAX in Jacksonville, Florida, spoke with Olsen's friends, who described her as infectiously happy.

"She was full of life. She never met a person who didn't like her," the station quoted Staci Kelly as saying about Olsen. "She had the best personality."